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Defining relations of the elliptic Lie algebra of type \(A_{1}^{(1,1)}\) - MaRDI portal

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Defining relations of the elliptic Lie algebra of type \(A_{1}^{(1,1)}\) (Q1879659)

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scientific article; zbMATH DE number 2102492
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English
Defining relations of the elliptic Lie algebra of type \(A_{1}^{(1,1)}\)
scientific article; zbMATH DE number 2102492

    Statements

    Defining relations of the elliptic Lie algebra of type \(A_{1}^{(1,1)}\) (English)
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    23 September 2004
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    The author describes the 2-toroidal Lie algebra of type \(A_1\) in terms of a finite set of generators, associated to the elliptic Dynkin diagram of type \(A_1^{(1,1)}\), and determines a complete set of defining relations with respect to these generators. This set of relations happens to be infinite.
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    toroidal Lie algebra
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    elliptic Lie algebra
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    generators
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    relations
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